With [1]}, \({}_1{F_0}^{\left( {{N_r}} \right)}\left( {1; - s{{\bf {R}}_r},{\bf {V}}} \right)\)  can be expanded as
\({}_1{F_0}^{\left( {{N_r}} \right)}\left( {1; - s{{\bf {R}}_r},{\bf {V}}} \right)=\sum \limits _{k = 0}^\infty {\sum \limits _{\kappa } {{{[1]}_{\kappa } }\frac{{{C_{\kappa } }\left( { - s{{\bf {R}}_r}} \right){C_{\kappa } }\left( {\bf {V}} \right)}}{{k!{C_{\kappa } }\left( {\bf {I}} \right)}}} },\) 
